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Finding the Fourth Proportional to 4,786.16, 6,602.90 and 3,456.96

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Solution

The fourth proportional to 4,786.16, 6,602.90 and 3,456.96 is: 4,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.16 : 6,602.90 = 3,456.96 : x
  2. Step 2: Convert to fraction form
    4,786.16/6,602.90 = 3,456.96/x
  3. Step 3: Cross multiply
    4,786.16x = 6,602.90 × 3,456.96
  4. Step 4: Simplify right side
    4,786.16x = 22,825,961.18
  5. Step 5: Solve for x
    x = 22,825,961.18/4,786.16
  6. Step 6: Final answer
    x = 4,769.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.